Step by Step Explanation:
x5−3x4+x2−4+5x4+3x2+2x+1
=x5+−3x4+x2+−4+5x4+3x2+2x+1
Combine Like Terms:
=x5+−3x4+x2+−4+5x4+3x2+2x+1
=(x5)+(−3x4+5x4)+(x2+3x2)+(2x)+(−4+1)
=x5+2x4+4x2+2x+−3
Answer:
x5+2x4+4x2+2x−3
Answer:
18
Step-by-step explanation:
The factors of 72 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72
The factors of 18 are 1, 2, 3, 6, 9, 18
The common factors are 1, 2, 3, 6, 9, 18
The greatest common factor = 18
Step-by-step answer:
Since the question can be solved easily with a calculator, it is assumed that no calculators are allowed.
13*379 is the same as (10+3)*379
Applying distributive law, we then solve
10*379 = 3790
3*379 = 1137
Adding the two, we get
4927
Alternatively, we can calculate the product by long multiplication to get also 4927.
To check for mistakes, we use casting out nines
13 * 379 (add the digits, 1+3, 3+7+9)
4 * 19 (add the digits)
4*10 (multiply)
40 (add digits)
4
Add digits of 4927
4+9+2+7 = 22
add digits again
2+2 =4
the two match, so the likelihood of make arithmetic error is very low.
Note: using a calculator, the value is indeed 4927.
Answer:
Since living expenses are 11% higher in the new city. Marla would need an 11% increase in her current income to maintain her current buying power when moving. We can solve this by simply multiplying her current income by 11%.
Step-by-step explanation:
If we multiply her current income of $95,000 by 11% we see that Marla would need an income of $105,450 in order to maintain her buying power in the new city. Since her new job offer is paying $118,000 she will have more buying power in the new city.
<u>Answer:</u> Marla must earn an Income of $105,450 to maintain her buying power.